Least Common Multiple of 305/40, 549/91, 979/14

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 305/40, 549/91, 979/14 quickly i.e. 2687355 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 305/40, 549/91, 979/14 is 2687355.

LCM(305/40, 549/91, 979/14) = 2687355

LCM of 305/40, 549/91, 979/14

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 305/40,549/91,979/14

Given numbers are 305/40,549/91,979/14

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 305,549,979

Least Common Multiple of Numerators i.e. LCM of 305,549,979 is 2687355.

GCF of Denominators means GCF of 40,91,14 as per the given fractions.

GCF of 40,91,14 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 305,549,979

LCM of Fractions 305/40,549/91,979/14 is 2687355

61 305, 549, 979
5, 9, 979

∴ So the LCM of the given numbers is 61 x 5 x 9 x 979 = 2687355

Least Common Multiple of 305,549,979 with GCF Formula

Least Common Multiple of 305,549,979 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 305,549,979 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(305,549,979) = 1

common factors(in case of two or more numbers have common factors) = 61

GCF(305,549,979) x common factors =1 x 61 = 61

LCM(305,549,979) = ( 305 × 549 × 979 ) / 61

LCM(305,549,979) = 163928655 / 61

LCM(305,549,979) = 2687355


Lets's calculate GCF of 40,91,14

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2687355/1

Therefore the LCM of Fractions 305/40,549/91,979/14 is 2687355

Greatest Common Factor of 40,91,14 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,91,14 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Greatest Common Factor

We found the factors 40,91,14 . The biggest common factor number is the GCF number.
So the greatest common factor 40,91,14 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 305/40, 549/91, 979/14

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 305/40, 549/91, 979/14?

Answer: LCM of Numerators as per given numbers 305/40, 549/91, 979/14 is

LCM of Numerators i.e. for 305,549,979 is 2687355

GCF of denominators i.e. for 40,91,14 is 1.

Thus, LCM of Fractions is 2687355.Finally, LCM of Fractions for 305/40, 549/91, 979/14 is 2687355.